On the principle of reduction for the nonlinear delay systems

Results were presented enabling one to reduce the problem equilibrium stability for multidimensional delay systems to a similar problem for more than one system of lower dimensionality. The results were established using fixed-sign (degenerate) Lyapunov functions and the limiting systems. The latter were constructed under more general assumptions about the right-hand side of the system than those used traditionally.

Presented by the member of Editorial Board: L. B. Rapoport